1 citations · 1 across the 4 of their papers we have counts for
10 papers
Resonances and string point invertibility for compact rank one symmetric spaces
Kai Cieliebak, Alexandru Oancea, Egor Shelukhin
We calculate the Batalin-Vilkovisky (BV) algebra structure of Rabinowitz loop homology for compact rank one symmetric spaces. As a consequence, we prove that such a space satisfies…
Computable functions as Reeb flows
Kai Cieliebak, Ãngel González-Prieto, Eva Miranda
We prove that, given any contact -manifold and any computable function , there exists a defining contact form and a Poincaré section o…
Chern-Simons theory and string topology
Kai Cieliebak, Evgeny Volkov
We construct chain-level -equivariant string topology for each simply connected closed manifold. This amounts to constructing a Maurer-Cartan element for the canonical involut…
String topology operations under Chen's iterated integrals and homotopy transfer
Kai Cieliebak, Evgeny Volkov
We develop the analytical foundations for integrals over configuration spaces used to relate chain-level -equivariant string topology to perturbative Chern-Simons theory. As a…
Nondegeneracy and integral count of frozen planet orbits in helium
Kai Cieliebak, Urs Frauenfelder, Evgeny Volkov
We study a family of action functionals whose critical points interpolate between frozen planet orbits for the helium atom with mean interaction between the electrons and the free…
A variational approach to frozen planet orbits in helium
Kai Cieliebak, Urs Frauenfelder, Evgeny Volkov
We present variational characterizations of frozen planet orbits for the helium atom in the Lagrangian and the Hamiltonian picture. They are based on a Levi-Civita regularization w…